M.A. DEGREE EXAMINATION, NOVEMBER 2017
Second Semester
Economics
STATISTICAL METHODS
(CBCS 2014 onwards)
Time 3 Hours Maximum 75 Marks
Part A (10 X 2 20)
Answer all questions.
1. What is coefficient of variation?
2. Define skewness.
3. State addition theorem on probability.
4. What is binomial distribution?
5. What is meant by null hypothesis?
6. When is two tailed test used?
7. What is index number?
8. What do you mean by time series?
9. Define simple linear regression.
Sub. Code
4MEC2C4
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Part B X 5 25)
Answer all questions, choosing either or
11. Explain the various methods that are used in the
collection of primary data.
Or
Calculate mean deviation from the mean for the
following data
Class 00-09 10-19 20-29 30-39 40-49
Frequency 11 20 16 36 17
12. An urn contains 5 black, 3 white and 7 red balls. A
ball is drawn at random. What is the probability
that the ball drawn is white or red?
Or
State the properties of normal distribution.
13. A sample size of 400 was drawn and the sample
mean was found to be 99. Test whether the sample
could have come from a normal population with
mean 100 and variance 64 at five percent level of
significance.
Or
Explain the properties of chi-square distribution.
14. Calculate Laspeyre's and Paasche's index number
from the following
Products p0 q0 p1 q1
A 12 100 20 120
B 4 200 4 240
C 8 120 12 150
D 20 60 24 50
Or
Explain the uses of time series analysis.
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Part C X 10 30)
Answer any three questions.
16. Compute mode for the following data
Monthly wages 125-175 175-225 225-275 275-325 325-375
No. of workers 2 22 19 14 3
Monthly wages 375-425 425-475 475-525 525-575
No. of workers 4 6 1 1
17. The mean weight of 500 students in a certain college is
73 kg and the standard deviation is 7 kg. Assuming that
weight are normally distributed, find how many students
will weight between 65 kg and 75 kg less than
70 kg and move than 79 kg.
18. Calculate standard error of mean from the following data,
showing the amount paid by 100 firms in Chennai on the
occasion of Pongal
Mid value 39 49 59 69 79 89 99
No. of firms 2 3 11 20 32 25 7
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19. Calculate the cost of living index number from the
following data
Item Base year price Current year price Weight
Food 39 47 4
Fuel 8 12 1
Clothing 14 18 3
Rent 12 15 2
Miscellaneous 25 30 1
20. Explain the maximum likelihood method of estimation.
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